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142489920 = 2635178731
BaseRepresentation
bin10000111111000…
…11100101000000
3100221010020102110
420133203211000
5242434134140
622050015320
73350100336
oct1037434500
9327106373
10142489920
1173482871
123b877540
132369c781
1414cd1b56
15c799380
hex87e3940

142489920 has 112 divisors (see below), whose sum is σ = 479072448. Its totient is φ = 35758080.

The previous prime is 142489913. The next prime is 142489931. The reversal of 142489920 is 29984241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11955 + ... + 20685.

Almost surely, 2142489920 is an apocalyptic number.

142489920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239536224).

142489920 is an abundant number, since it is smaller than the sum of its proper divisors (336582528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142489920 is a wasteful number, since it uses less digits than its factorization.

142489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8768 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 142489920 is about 11936.9141741071. The cubic root of 142489920 is about 522.3096473187.

The spelling of 142489920 in words is "one hundred forty-two million, four hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 8731 16320 17462 26193 34924 43655 52386 69848 87310 104772 130965 139696 148427 174620 209544 261930 279392 296854 349240 419088 445281 523860 558784 593708 698480 742135 838176 890562 1047720 1187416 1396960 1484270 1676352 1781124 2095440 2226405 2374832 2793920 2968540 3562248 4190880 4452810 4749664 5937080 7124496 8381760 8905620 9499328 11874160 14248992 17811240 23748320 28497984 35622480 47496640 71244960 142489920